A note on the existence of solutions for a class of quasilinear elliptic equations: an Orlicz-Sobolev space setting

被引：8

作者：

Yang, Yang ^{[1
]}

Zhang, Jihui ^{[2
]}

机构：

[1] Jiangnan Univ, Sch Sci, Wuxi 214122, Peoples R China

[2] Nanjing Normal Univ, Sch Math Sci, Nanjing 210097, Jiangsu, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2012年

关键词：

Orlicz-Sobolev spaces; symmetric mountain pass theorem; quasilinear elliptic equations; POSITIVE SOLUTIONS;

D O I：

10.1186/1687-2770-2012-136

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note, we study the existence and multiplicity of solutions for the quasilinear elliptic problem as follows: -div(a(vertical bar del u vertical bar = f(x,u), in Omega; u = 0, on partial derivative Omega, where is a bounded domain with a smooth boundary. The existence and multiplicity of solutions are obtained by a version of the symmetric mountain pass theorem.

引用

页码：1 / 7

页数：7

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